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Finding the Third Proportional to 70,141 and 149,044

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Solution

The third proportional to 70,141 and 149,044 is: 316,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,141 : 149,044 = 149,044 : x
  2. Step 2: Convert to fraction form
    70,141/149,044 = 149,044/x
  3. Step 3: Cross multiply
    70,141x = 149,044 × 149,044
  4. Step 4: Simplify right side
    70,141x = 22,214,113,936
  5. Step 5: Solve for x
    x = 22,214,113,936/70,141
  6. Step 6: Final answer
    x = 316,706.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.